Abelian varieties over order

Abelian varieties over $\mathbb{F}_2$ of prescribed order

We prove that for every positive integer there exist infinitely many simple abelian varieties over of order.The method is constructive, building on the work of madan--pal in the case to produce an explicit sequence of weil polynomials giving rise to abelian varieties over of order.We prove that for every positive integer there exist infinitely many simple abelian varieties over of order.The method is constructive, building on the work of madan--pal in the case to produce an explicit sequence of weil polynomials giving rise to abelian varieties over of order.We prove that for every positive integer there exist infinitely many simple abelian varieties over of order.The method is constructive, building on the work of madan--pal in the case to produce an explicit sequence of weil polynomials giving rise to abelian varieties over of order.We prove that for every positive integer there exist infinitely many simple abelian varieties over of order.